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Finding the Third Proportional to 9,022,314 and 13,991,598

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Solution

The third proportional to 9,022,314 and 13,991,598 is: 21,697,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022,314 : 13,991,598 = 13,991,598 : x
  2. Step 2: Convert to fraction form
    9,022,314/13,991,598 = 13,991,598/x
  3. Step 3: Cross multiply
    9,022,314x = 13,991,598 × 13,991,598
  4. Step 4: Simplify right side
    9,022,314x = 195,764,814,593,604
  5. Step 5: Solve for x
    x = 195,764,814,593,604/9,022,314
  6. Step 6: Final answer
    x = 21,697,849.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.